What is the Greatest Common Factor of 57024 and 57030?

Greatest common factor (GCF) of 57024 and 57030 is 6.

GCF(57024,57030) = 6

We will now calculate the prime factors of 57024 and 57030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57024 and 57030.

How to find the GCF of 57024 and 57030?

We will first find the prime factorization of 57024 and 57030. After we will calculate the factors of 57024 and 57030 and find the biggest common factor number .

Step-1: Prime Factorization of 57024

Prime factors of 57024 are 2, 3, 11. Prime factorization of 57024 in exponential form is:

57024 = 2⁶ × 3⁴ × 11¹

Step-2: Prime Factorization of 57030

Prime factors of 57030 are 2, 3, 5, 1901. Prime factorization of 57030 in exponential form is:

57030 = 2¹ × 3¹ × 5¹ × 1901¹

Step-3: Factors of 57024

List of positive integer factors of 57024 that divides 57024 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 64, 66, 72, 81, 88, 96, 99, 108, 132, 144, 162, 176, 192, 198, 216, 264, 288, 297, 324, 352, 396, 432, 528, 576, 594, 648, 704, 792, 864, 891, 1056, 1188, 1296, 1584, 1728, 1782, 2112, 2376, 2592, 3168, 3564, 4752, 5184, 6336, 7128, 9504, 14256, 19008, 28512

Step-4: Factors of 57030

List of positive integer factors of 57030 that divides 57024 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1901, 3802, 5703, 9505, 11406, 19010, 28515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57024 and 57030. The biggest common factor number is the GCF number.
So the greatest common factor 57024 and 57030 is 6.

Also check out the Least Common Multiple of 57024 and 57030